URGENT 50 PTS AND BRAINLIEST FOR A CORRECT ANSWER THAT EXPLAINS WELL A
Find an equation of the circle and sketch it if it has: Tangent to x-axis, r=4, contains (–5,8)

B
Find an equation of the circle and sketch it if it has:
Diameter endpoints (2, 5) and (0, 3)

C
Find an equation of the circle and sketch it if it has:
Center on x=3, tangent y-axis at (0, 5)

A.

B.

C.

Step-by-Step Explanation:

A. Tangent to x-axis, r=4, contains (-5,8)

The equation of a circle is this:

Therefore, we know that our equation will be:

Because the circle is tangent to the x-axis, the point (-5,8) will be the top of the circle.

Therefore, the center is (-5,4), where -5=h and 4=k.

The answer is

B. Diameter endpoints (2,5) and (0,3)

To solve for the diameter, we can use this equation:

Because the radius is half of the diameter,

Therefore, we know that our equation will be:

Then, we can decipher that h=1, as the midpoint of 0 and 2 is 1, and k=4, as the midpoint of 3 and 5 is 4.

The answer is

C. Center on x=3, tangent to y-axis at (0,5)

We can see that the center is (3,5). Therefore, the equation is

To solve for r, we can substitute the point (0,5) into the equation.

The answer is

Hope this helped!

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.